Published in Bull Math Biol on November 01, 1999
Two-dimensional patterning by a trapping/depletion mechanism: the role of TTG1 and GL3 in Arabidopsis trichome formation. PLoS Biol (2008) 1.19
Branch mode selection during early lung development. PLoS Comput Biol (2012) 1.14
Turing's model for biological pattern formation and the robustness problem. Interface Focus (2012) 0.99
Mathematical model of a cell size checkpoint. PLoS Comput Biol (2010) 0.97
Stationary multiple spots for reaction-diffusion systems. J Math Biol (2007) 0.95
A mechanism for morphogen-controlled domain growth. J Math Biol (2006) 0.94
Towards an integrated experimental-theoretical approach for assessing the mechanistic basis of hair and feather morphogenesis. Interface Focus (2012) 0.87
Stability analysis of non-autonomous reaction-diffusion systems: the effects of growing domains. J Math Biol (2009) 0.87
Travelling and splitting of a wave of hedgehog expression involved in spider-head segmentation. Nat Commun (2011) 0.87
Global existence for semilinear reaction-diffusion systems on evolving domains. J Math Biol (2011) 0.86
An efficient, nonlinear stability analysis for detecting pattern formation in reaction diffusion systems. Bull Math Biol (2013) 0.84
The Intersection of Theory and Application in Elucidating Pattern Formation in Developmental Biology. Math Model Nat Phenom (2009) 0.83
The surface finite element method for pattern formation on evolving biological surfaces. J Math Biol (2011) 0.82
Simulating Stochastic Reaction-Diffusion Systems on and within Moving Boundaries. PLoS One (2015) 0.80
The evolution of developmental patterning under genetic duplication constraints. J R Soc Interface (2008) 0.79
Predicting the spatiotemporal dynamics of hair follicle patterns in the developing mouse. Proc Natl Acad Sci U S A (2014) 0.78
Exact solutions of linear reaction-diffusion processes on a uniformly growing domain: criteria for successful colonization. PLoS One (2015) 0.77
Exact Solutions of Coupled Multispecies Linear Reaction-Diffusion Equations on a Uniformly Growing Domain. PLoS One (2015) 0.75
History dependence and the continuum approximation breakdown: the impact of domain growth on Turing's instability. Proc Math Phys Eng Sci (2017) 0.75
The interplay between phenotypic and ontogenetic plasticities can be assessed using reaction-diffusion models : The case of Pseudoplatystoma fishes. J Biol Phys (2017) 0.75
Predictions for optimal mitigation of paracrine inhibitory signalling in haemopoietic stem cell cultures. Stem Cell Res Ther (2015) 0.75
Pattern formation by lateral inhibition with feedback: a mathematical model of delta-notch intercellular signalling. J Theor Biol (1996) 2.45
On the spatial spread of the grey squirrel in Britain. Proc R Soc Lond B Biol Sci (1989) 2.40
Cellular adaptations to hypoxia and acidosis during somatic evolution of breast cancer. Br J Cancer (2007) 2.00
Overview of mathematical approaches used to model bacterial chemotaxis II: bacterial populations. Bull Math Biol (2008) 1.97
A cellular automaton model for tumour growth in inhomogeneous environment. J Theor Biol (2003) 1.81
Stripe formation in juvenile Pomacanthus explained by a generalized turing mechanism with chemotaxis. Proc Natl Acad Sci U S A (1999) 1.66
Bend propagation in the flagella of migrating human sperm, and its modulation by viscosity. Cell Motil Cytoskeleton (2009) 1.49
Modelling aspects of cancer dynamics: a review. Philos Trans A Math Phys Eng Sci (2006) 1.48
Overview of mathematical approaches used to model bacterial chemotaxis I: the single cell. Bull Math Biol (2008) 1.39
An integrative computational model for intestinal tissue renewal. Cell Prolif (2009) 1.36
Fluid mechanics of nodal flow due to embryonic primary cilia. J R Soc Interface (2008) 1.29
A mathematical model of the effects of hypoxia on the cell-cycle of normal and cancer cells. J Theor Biol (2004) 1.26
A mechanochemical model for adult dermal wound contraction and the permanence of the contracted tissue displacement profile. J Theor Biol (1995) 1.24
Turing instabilities in general systems. J Math Biol (2000) 1.23
Mathematical modelling of extracellular matrix dynamics using discrete cells: fiber orientation and tissue regeneration. J Theor Biol (1999) 1.20
Modelling mucociliary clearance. Respir Physiol Neurobiol (2008) 1.19
The influence of gene expression time delays on Gierer-Meinhardt pattern formation systems. Bull Math Biol (2010) 1.19
Modelling the role of angiogenesis and vasculogenesis in solid tumour growth. Bull Math Biol (2007) 1.17
Towards whole-organ modelling of tumour growth. Prog Biophys Mol Biol (2004) 1.16
Pattern formation in reaction-diffusion models with nonuniform domain growth. Bull Math Biol (2002) 1.11
The dynamics of Turing patterns for morphogen-regulated growing domains with cellular response delays. Bull Math Biol (2011) 1.09
A clock and wavefront mechanism for somite formation. Dev Biol (2006) 1.08
Discrete cilia modelling with singularity distributions: application to the embryonic node and the airway surface liquid. Bull Math Biol (2007) 1.07
Dictyostelium discoideum: cellular self-organization in an excitable biological medium. Proc Biol Sci (1995) 1.06
A model for chondrogenic condensations in the developing limb: the role of extracellular matrix and cell tractions. J Embryol Exp Morphol (1985) 1.05
Modeling the effects of transforming growth factor-beta on extracellular matrix alignment in dermal wound repair. Wound Repair Regen (2001) 1.05
A hybrid approach to multi-scale modelling of cancer. Philos Trans A Math Phys Eng Sci (2010) 1.03
A mathematical model for collagen fibre formation during foetal and adult dermal wound healing. Proc Biol Sci (1996) 1.02
Nonlinear instability in flagellar dynamics: a novel modulation mechanism in sperm migration? J R Soc Interface (2010) 1.00
A two-dimensional numerical study of spatial pattern formation in interacting Turing systems. Bull Math Biol (1999) 0.99
A mathematical model of Doxorubicin treatment efficacy for non-Hodgkin's lymphoma: investigation of the current protocol through theoretical modelling results. Bull Math Biol (2005) 0.98
Enzyme kinetics at high enzyme concentration. Bull Math Biol (2000) 0.96
A viscoelastic traction layer model of muco-ciliary transport. Bull Math Biol (2006) 0.96
A chemotactic model for the advance and retreat of the primitive streak in avian development. Bull Math Biol (2000) 0.95
A mechanism for morphogen-controlled domain growth. J Math Biol (2006) 0.94
Mode-doubling and tripling in reaction-diffusion patterns on growing domains: a piecewise linear model. J Math Biol (2002) 0.93
On the kinetics of suicide substrates. Biophys Chem (1990) 0.93
Genome organization is a major component of gene expression control in response to stress and during the cell division cycle in trypanosomes. Open Biol (2012) 0.93
A model for colour pattern formation in the butterfly wing of Papilio dardanus. Proc Biol Sci (2000) 0.91
Mesoscopic and continuum modelling of angiogenesis. J Math Biol (2014) 0.91
Travelling gradients in interacting morphogen systems. Math Biosci (2007) 0.90
Comment on the article by J. Elgeti, U. B. Kaupp, and G. Gompper: hydrodynamics of sperm cells near surfaces. Biophys J (2011) 0.90
Predicting the safety and efficacy of buffer therapy to raise tumour pHe: an integrative modelling study. Br J Cancer (2012) 0.90
A cell cycle model for somitogenesis: mathematical formulation and numerical simulation. J Theor Biol (2000) 0.89
A model of tracer transport in airway surface liquid. Bull Math Biol (2007) 0.88
Role of fibroblast migration in collagen fiber formation during fetal and adult dermal wound healing. Bull Math Biol (1997) 0.87
Oscillatory dynamics in a model of vascular tumour growth--implications for chemotherapy. Biol Direct (2010) 0.87
The effect of sampling rate on observed statistics in a correlated random walk. J R Soc Interface (2013) 0.87
Pattern formation of scale cells in lepidoptera by differential origin-dependent cell adhesion. Bull Math Biol (1999) 0.86
Mathematical modeling of corneal epithelial wound healing. Math Biosci (1994) 0.86
A mathematical model for the capillary endothelial cell-extracellular matrix interactions in wound-healing angiogenesis. IMA J Math Appl Med Biol (1997) 0.86
Two-stage Turing model for generating pigment patterns on the leopard and the jaguar. Phys Rev E Stat Nonlin Soft Matter Phys (2006) 0.86
Clock and induction model for somitogenesis. Dev Dyn (2000) 0.86
A simple mechanistic model of sprout spacing in tumour-associated angiogenesis. J Theor Biol (2007) 0.85
A mathematical model for fibro-proliferative wound healing disorders. Bull Math Biol (1996) 0.85
Turing patterns with pentagonal symmetry. Phys Rev E Stat Nonlin Soft Matter Phys (2002) 0.85
Mathematical modelling of anisotropy in fibrous connective tissue. Math Biosci (1999) 0.85
Development and applications of a model for cellular response to multiple chemotactic cues. J Math Biol (2000) 0.84
Modelling a tethered mammalian sperm cell undergoing hyperactivation. J Theor Biol (2012) 0.83
Cluster formation for multi-strain infections with cross-immunity. J Theor Biol (2004) 0.83
A mathematical investigation of a Clock and Wavefront model for somitogenesis. J Math Biol (2006) 0.82
Investigating a simple model of cutaneous wound healing angiogenesis. J Math Biol (2002) 0.82
Modelling biological invasions: Individual to population scales at interfaces. J Theor Biol (2013) 0.82
Dispersion relation in oscillatory reaction-diffusion systems with self-consistent flow in true slime mold. J Math Biol (2007) 0.80
Nonlinear pattern selection in a mechanical model for morphogenesis. J Math Biol (1986) 0.80
Mathematical modelling of ethanol metabolism in normal subjects and chronic alcohol misusers. Alcohol Alcohol (1993) 0.80
Spatiotemporal modelling of CheY complexes in Escherichia coli chemotaxis. Prog Biophys Mol Biol (2009) 0.80
A mathematical formulation for the cell-cycle model in somitogenesis: analysis, parameter constraints and numerical solutions. Math Med Biol (2004) 0.80
Coupling fluid and solute dynamics within the ocular surface tear film: a modelling study of black line osmolarity. Bull Math Biol (2012) 0.79
Sequential pattern formation in a model for skin morphogenesis. IMA J Math Appl Med Biol (1992) 0.78
Modelling corneal epithelial wound closure in the presence of physiological electric fields via a moving boundary formalism. IMA J Math Appl Med Biol (1999) 0.78
Pattern formation in a generalized chemotactic model. Bull Math Biol (1998) 0.78
Re-evaluating the use of Voronoi Tessellations in the assessment of oxygen supply from capillaries in muscle. Bull Math Biol (2012) 0.78
Aberrant behaviours of reaction diffusion self-organisation models on growing domains in the presence of gene expression time delays. Bull Math Biol (2010) 0.78
Hierarchically coupled ultradian oscillators generating robust circadian rhythms. Bull Math Biol (1997) 0.78
Nonlinear diffusion of a growth inhibitory factor in multicell spheroids. Math Biosci (1994) 0.78
Travelling waves in a tissue interaction model for skin pattern formation. J Math Biol (1994) 0.77
The mathematical modelling of cell kinetics in corneal epithelial wound healing. J Theor Biol (1999) 0.77
Rhythmic firing patterns in suprachiasmatic nucleus (SCN): the rôle of circuit interactions. Int J Biomed Comput (1995) 0.77
Spatially varying equilibria of mechanical models: application to dermal wound contraction. Math Biosci (1998) 0.77
Enzyme kinetics for a two-step enzymic reaction with comparable initial enzyme-substrate ratios. J Math Biol (1988) 0.77
Estimation of effective vaccination rate: pertussis in New Zealand as a case study. J Theor Biol (2003) 0.76
Nonlinear effects on Turing patterns: time oscillations and chaos. Phys Rev E Stat Nonlin Soft Matter Phys (2012) 0.76
Spatio-temporal patterns in a mechanical model for mesenchymal morphogenesis. J Math Biol (1995) 0.76
A new approach to the generation of pattern and form in embryology. Sci Prog (1986) 0.76
Variable renewal rate and growth properties of cell populations in colon crypts. Phys Rev E Stat Nonlin Soft Matter Phys (2010) 0.76
Modelling Aedes aegypti mosquito control via transgenic and sterile insect techniques: endemics and emerging outbreaks. J Theor Biol (2013) 0.76
A mathematical model for simultaneous spatio-temporal dynamics of calcium and inositol 1,4,5-trisphosphate in Madin-Darby canine kidney epithelial cells. Bull Math Biol (2006) 0.76
Tumour angiogenesis: the gap between theory and experiments. J Theor Biol (2011) 0.75
Meniscal tear film fluid dynamics near Marx's line. Bull Math Biol (2013) 0.75
Simple versus sophisticated models of breath alcohol exhalation profiles. Alcohol Alcohol (1996) 0.75
Suicide substrate reaction--diffusion equations: varying the source. IMA J Math Appl Med Biol (1993) 0.75
Reaction-diffusion finite element model of lateral line primordium migration to explore cell leadership. Bull Math Biol (2014) 0.75
A model of primitive streak initiation in the chick embryo. J Theor Biol (2001) 0.75
On the modelling of biological patterns with mechanochemical models: Insights from analysis and computation. Bull Math Biol (2010) 0.75
Analysis of a risk-based model for the growth of AIDS infection. Math Biosci (1991) 0.75